摘要
从控制的角度出发,通过将量子力学系统的态矢波函数和密度矩阵算符转化为几何空间状态的演化矩阵,对量子力学系统和系综进行了可实现的理论建模,从而将一个抽象的物理概念的操纵问题,转变成一个实在的易于数学操作和控制处理的几何空间状态的控制设计问题.最后给出了基于所建模型可进一步解决的有关量子系统控制的5个基本问题.
A model of quantum mechanical systems and its ensemble are established from control theory viewpoint. The state vector of wave function and density matrix of quantum mechanical systems are transformed into evolution matrix state of geometry space. The manipulation problem of an abstract physical concept is changed into a control design problem on a state of geometry space, which is easy to deal with mathematically and suitable for control. Finally, five basic problems about quantum systems control, which may be solved based on the model, are presented.
出处
《控制与决策》
EI
CSCD
北大核心
2004年第10期1105-1108,共4页
Control and Decision
基金
安徽省自然科学基金资助项目(2003kj048zd).
关键词
量子系统控制
状态模型
波函数
密度矩阵
Control systems
Matrix algebra
Mechanical properties
Optimization
State space methods
